Finite element methods (FEM) constitute a foundational numerical approach for solving partial differential equations by discretising complex domains into smaller, manageable subdomains known as ...

This is the final project work of Ilya Gutkin for the computational lab course. The project focuses on the numerical solution of partial differential equations (PDEs). Its core objective is to solve ...

This repository contains the implementation and numerical experiments from my Master’s Thesis Project on Convergence of Adaptive Finite Element Methods (AFEM). AFEM is a powerful numerical technique ...

ABSTRACT: In this paper, we present a method for solving coupled problem. This method is mainly based on the successive approximations method. The external force acting on the structure is replaced by ...

Abstract: We have previously suggested a minimally invasive approach to include hardware accelerators into an existing large-scale parallel finite element PDE solver toolkit, and implemented it into ...